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Simplifying 0.4(5w + 20) = 0.9w + 20.4 Reorder the terms: 0.4(20 + 5w) = 0.9w + 20.4 (20 * 0.4 + 5w * 0.4) = 0.9w + 20.4 (8 + 2w) = 0.9w + 20.4 Reorder the terms: 8 + 2w = 20.4 + 0.9w Solving 8 + 2w = 20.4 + 0.9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.9w' to each side of the equation. 8 + 2w + -0.9w = 20.4 + 0.9w + -0.9w Combine like terms: 2w + -0.9w = 1.1w 8 + 1.1w = 20.4 + 0.9w + -0.9w Combine like terms: 0.9w + -0.9w = 0.0 8 + 1.1w = 20.4 + 0.0 8 + 1.1w = 20.4 Add '-8' to each side of the equation. 8 + -8 + 1.1w = 20.4 + -8 Combine like terms: 8 + -8 = 0 0 + 1.1w = 20.4 + -8 1.1w = 20.4 + -8 Combine like terms: 20.4 + -8 = 12.4 1.1w = 12.4 Divide each side by '1.1'. w = 11.27272727 Simplifying w = 11.27272727
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